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The phrase 'a partial solution to' is correct and usable in written English.
You can use it when you want to refer to a solution that does not completely resolve an issue, problem, or dilemma. For example, "Even though the new law offers a partial solution to the issue of traffic congestion, more needs to be done to address the root causes of the problem."
Exact(60)
Immigration was seen as only a partial solution to the problem, Brauksiepe said.
Our friend has recently found a partial solution to this dilemma.
Program operators and the T.S.A. have now settled on a partial solution to double carding.
The new Gmail offers a partial solution to that: make old emails do a disappearing act.
A partial solution to Noah's current quagmire may lie in his predecessors' woes.
Incentives are at best a partial solution to most of the challenges that sales forces face.
Luggage etiquette is only a partial solution to the seasonal squeeze.
The Dean's Completion Fellowship offers a partial solution to this issue.
There is at least a partial solution — to privacy as well as a host of other health care woes.
Furthermore, elimination of corruption in customs would be only a partial solution to the problem of funding the government.
The inescapable conclusion, therefore, is that a partial solution to climate change is no solution at all.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com